“There's no imminent threat that we're going to stop cutting checks,” Gotbaum said during a conference call with reporters. However, he said, Congress must act “long before 10 years from now” to increase the insurance premiums that companies pay to the agency.

The Obama administration has proposed raising the premiums and tailoring them to the size of companies and their level of financial risk. Under the plan, bigger companies and those at greater risk of failing would pay larger premiums. The fees haven't been raised in six years.

The American Benefits Council, which represents businesses, called the $34 billion deficit figure misleading and said it was based on faulty math.

“The public should not be led to believe the PBGC is in danger of a bailout, and Congress and the Obama administration should not use this number as a pretext to raise (insurance) premiums,” the group said in a statement. The group has been critical of the PBGC.